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NCERT Solutions for Class 8 Maths Chapter 7 Comparing Quantities

NCERT Solutions for Class 8 Maths Chapter 7 Comparing Quantities explain ratios, percentages, profit–loss, discounts, GST, and interest in a simple, step-by-step way. These solutions help students understand everyday math concepts using clear examples and formulas. With extra questions, common mistakes, and exam-focused methods, students can build confidence, improve problem-solving skills, and score better in tests while learning practical calculations useful in daily life.
authorImageNivedita Dar31 Jan, 2026
NCERT Solutions for Class 8 Maths Chapter 7 Comparing Quantities

NCERT Solutions for Class 8 Maths Chapter 7 Comparing Quantities help you understand how to compare two different values easily. You will learn about ratios, percentages, and finding discounts or taxes on items you buy. These solutions offer clear steps to solve every exercise, making it very simple for you to study and score good marks in your exams. By focusing on comparing quantities class 8 questions and answers, you can master important real-life math skills like calculating Compound Interest and Profit or Loss.

Comparing Quantities Class 8 Questions and Answers

When we talk about comparing things, we usually look at how much bigger or smaller one thing is than another. In your daily life, you might compare the weight of two bags or the marks of two friends. These comparing quantities class 8 questions and answers focus on basic math rules that make these comparisons easy to see and understand.

Basic Concepts of Ratios

  • What is a Ratio? It's a way to compare two quantities of the same unit.

  • How to Write It: You can write a ratio using a colon, like 2:3.

  • Unit Check: Always make sure both things you compare have the same units, like both being in meters or both in grams.

Understanding Percentages

  • Meaning of Percent: The word percent means "out of one hundred."

  • Changing Ratios to Percent: You multiply the fraction by 100 to get the percentage value.

  • Real-life Use: We use percents to find out how much a price has gone up or down.

Term

Simple Definition

Example

Ratio

Comparing two numbers by division

5 apples to 2 oranges

Percentage

A fraction with 100 as the bottom number

25% means 25/100

Unit

The measurement type

Meters, Kilograms, Liters

Using NCERT Solutions for Class 8 Maths Chapter 7 – Comparing Quantities

If you find math tricky, don't worry because these solutions break everything down. Using NCERT Solutions for Class 8 Maths Chapter 7 Comparing Quantities means you don't have to guess how to get the right answer. We show you the logic behind every step so you can learn while you practice your homework.

Steps to Find Increase or Decrease Percent

  1. Find the Difference: Subtract the old value from the new value.

  2. Divide: Put the difference over the original (old) value.

  3. Multiply: Times that number by 100 to find the percentage change.

Why Practice is Helpful

  • It builds your confidence for school tests.

  • You learn how to handle big numbers without getting scared.

  • It teaches you how to save money by calculating discounts.

Mentor Tip: Always read the question twice. Sometimes the units are different, and you need to change them before you start any math work.

 

Comparing Quantities Class 8 Extra Questions and Answers

Sometimes the book exercises are not enough, so we look at comparing quantities class 8 extra questions and answers. These extra bits of practice help you get ready for harder problems that might pop up in your final exams. They cover everything from simple ratios to complex interest problems that you will use later in life.

Finding Discount and Sales Tax

  • Discount: This is a reduction in price. You subtract it from the marked price.

  • Sales Tax / GST: This is an extra amount added to your bill by the government.

  • Marked Price: The price written on the tag of an item in a shop.

Working with Interest

  • Simple Interest: Interest calculated only on the money you first put in.

  • Compound Interest: Interest calculated on the money you put in plus the interest you already earned.

  • Time Period: How long the money stays in the bank or is borrowed.

Comparing Quantities Class 8 NCERT Solutions for Exams

Preparing for a big test can feel heavy, but comparing quantities class 8 ncert solutions make it light. When you follow these solutions, you follow the official way of solving problems. This is important because teachers look for these specific steps when they grade your answer sheets in the classroom.

Key Formulas to Remember

  • Discount = Marked Price - Sale Price.

  • Discount % = Discount % = (Discount / Marked Price) × 100.

  • Profit % = Profit % = (Profit / Cost Price) × 100..

Common Mistakes to Avoid

  • Forgetting to add the % symbol at the end of a percentage answer.

  • Mixing up the Cost Price and the Selling Price.

  • Using the wrong time unit (months instead of years) in interest math.

Download Comparing Quantities Class 8 Questions and Answers 

Having a copy on your phone or computer is very handy. You can get the comparing quantities class 8 questions and answers to study even when you don't have your heavy textbook with you. It's a great way to do a quick review before a class test or a quiz with your friends.

How to Study Effectively

  • Try solving the problem on your own first.

  • Check your answer with the PDF if you get stuck.

  • Redo the problems you got wrong until they feel easy.

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NCERT Solutions for Class 8 Maths Chapter 7 FAQs

What is the best way to compare two ratios?

To compare two ratios, you can turn them into fractions. Make the bottom numbers the same or turn them into decimals. Then, it's easy to see which one is larger.

How do I find a percentage of a number?

You change the percent to a fraction by putting it over 100. Then, you multiply that fraction by the total number to get your answer.

What is the difference between Profit and Loss?

You make a profit if you sell something for more than you paid. You have a loss if you sell it for less than your cost.

How do I calculate GST on an item?

Find the percentage rate of the GST. Multiply it by the price of the item. Add that extra amount to the price to get the total bill.

Is Compound Interest always more than Simple Interest?

Yes, if the time is more than one year. This is because you earn interest on your interest, so the money grows faster over time.
Curious Jr By PW
Curious Jr By PW

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